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Finding the Third Proportional to 81,887 and 110,032

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Solution

The third proportional to 81,887 and 110,032 is: 147,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,887 : 110,032 = 110,032 : x
  2. Step 2: Convert to fraction form
    81,887/110,032 = 110,032/x
  3. Step 3: Cross multiply
    81,887x = 110,032 × 110,032
  4. Step 4: Simplify right side
    81,887x = 12,107,041,024
  5. Step 5: Solve for x
    x = 12,107,041,024/81,887
  6. Step 6: Final answer
    x = 147,850.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.